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3 years ago

Write and simplify a multiplication expression to represent 5^4

Mathematics

2 answers:

Viktor [21]3 years ago

6 0

Answer:

Step-by-step explanation:

5 * 5 * 5 * 5

= 625

stiks02 [169]3 years ago

5 0

ANSWER

${5}^{4} = 625$

EXPLANATION

We want to simplify the exponential expression 5⁴ by writing and simplifying a multiplication expression that represents it.

This implies that

${5}^{4} = 5 \times 5 \times 5 \times 5$

This simplifies to

${5}^{4} = 25 \times 2 5$

We finally obtain:

${5}^{4} = 625$

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The diameter of cold virus cell is about 3x10-9 meter,and the diameter of a streptoccus bacterium cell is about 9x10-7 meter. Wh

Archy [21]

Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is 300 times larger than the virus.

We know that:

The diameter of the virus-cell is:

$D_v = 3 \cdot 10^{-9} m$

The diameter of the bacteria cell is:

$D_b = 9 \cdot 10^{-7} m$

So, to compare them, first notice that both are in the same units, meters, so we only need to compare the numbers.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus the bacteria should be the larger one.

But let's prove this with math, remember the property:

$\frac{a^n}{a^m} = a^{n - m}$

Let's take the quotient between the diameters and see what we get, I will use the diameter of the bacteria in the numerator, thus if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.

$quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m} = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2$

So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.

If you want to learn more, you can read:

brainly.com/question/4953281

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2 years ago

Use a stem-and-leaf plot to display the data, which represent the thickness (in centimeters) of ice measured at 20 different loc

navik [9.2K]

Answer/Step-by-step explanation:

To represent the data given on a stem and leaf plot, the whole number in a given value would be used as the stem, while the number after the decimal point is the leaf. (Key: 3|3 = 3.3).

For example, in the first stem in the first row, we have 4 as the stem. All values that starts with 4 point would be represented in this row. The digit after 4 point for each of the values would be written on the leaf column in the first row, from the least to the largest. For the first row we have: 4 | 3 9.

Same applies to the rest rows.

The stem plot would look like the one below:

Ice Thickness:

Stem | Leaf

4 | 3 9

5 | 1 8 8 8 9

6 | 5 8 9 9

7 | 0 2 2 2 2 5 9

8 | 0 7

The data of the stem-and-leaf plot shows a bell-shaped pattern with majority of the ice thickness for the 20 locations clustering around the center of the data distribution.

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3 years ago

Plz help me with 52 a and b

8090 [49]

A equals 54
im thinking b equals 12 but i could be wrong
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4 0

3 years ago

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Write a whole number and fraction greater than 1, 3 containers with 4 tomatoes

Sphinxa [80]

4/3 because 3/3 is 1 and 4/3 is 1 1/3

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